Search a number
-
+
16268672 = 27767271
BaseRepresentation
bin111110000011…
…110110000000
31010121112102102
4332003312000
513131044142
61340405532
7255165350
oct76036600
933545372
1016268672
119201992
1255468a8
1334a7c44
142236b60
151665532
hexf83d80

16268672 has 64 divisors (see below), whose sum is σ = 37731840. Its totient is φ = 6842880.

The previous prime is 16268671. The next prime is 16268683. The reversal of 16268672 is 27686261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16268671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59897 + ... + 60167.

It is an arithmetic number, because the mean of its divisors is an integer number (589560).

Almost surely, 216268672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865920).

16268672 is an abundant number, since it is smaller than the sum of its proper divisors (21463168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16268672 is an equidigital number, since it uses as much as digits as its factorization.

16268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 16268672 is about 4033.4441858045. Note that the first 3 decimals coincide. The cubic root of 16268672 is about 253.3868277306.

The spelling of 16268672 in words is "sixteen million, two hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 271 448 469 536 542 896 938 1072 1084 1876 1897 2144 2168 3752 3794 4288 4336 7504 7588 8576 8672 15008 15176 17344 18157 30016 30352 34688 36314 60032 60704 72628 121408 127099 145256 242816 254198 290512 508396 581024 1016792 1162048 2033584 2324096 4067168 8134336 16268672